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Finding the Fourth Proportional to 5,406.75, 7,461.77 and 3,049.35

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Solution

The fourth proportional to 5,406.75, 7,461.77 and 3,049.35 is: 4,208.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.75 : 7,461.77 = 3,049.35 : x
  2. Step 2: Convert to fraction form
    5,406.75/7,461.77 = 3,049.35/x
  3. Step 3: Cross multiply
    5,406.75x = 7,461.77 × 3,049.35
  4. Step 4: Simplify right side
    5,406.75x = 22,753,522.27
  5. Step 5: Solve for x
    x = 22,753,522.27/5,406.75
  6. Step 6: Final answer
    x = 4,208.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.